Question

If ${\sin }^2\theta =\frac{1}{2},$ then find the value of ${\cos }^2\theta$

Answer 1

Given ${\sin }^2\theta =\frac{1}{2}$

$1-{\cos }^2\theta =\frac{1}{2}$

$⟹{\cos }^2\theta =1-\frac{1}{2}$

$⟹{\cos }^2\theta =\frac{1}{2}$